40114200 has 96 divisors (see below), whose sum is σ = 142133760. Its totient is φ = 9168000.

The previous prime is 40114199. The next prime is 40114211. The reversal of 40114200 is 241104.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (1480560).

Almost surely, 2^40114200 is an apocalyptic number.

40114200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066880).

40114200 is an abundant number, since it is smaller than the sum of its proper divisors (102019560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40114200 is a wasteful number, since it uses less digits than its factorization.

40114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9577 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 40114200 is about 6333.5771882878. The cubic root of 40114200 is about 342.3203455129.

Adding to 40114200 its reverse (241104), we get a palindrome (40355304).

The spelling of 40114200 in words is "forty million, one hundred fourteen thousand, two hundred".